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Finding the Fourth Proportional to 25,823.50, 35,642.51 and 15,760.26

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Solution

The fourth proportional to 25,823.50, 35,642.51 and 15,760.26 is: 21,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.50 : 35,642.51 = 15,760.26 : x
  2. Step 2: Convert to fraction form
    25,823.50/35,642.51 = 15,760.26/x
  3. Step 3: Cross multiply
    25,823.50x = 35,642.51 × 15,760.26
  4. Step 4: Simplify right side
    25,823.50x = 561,735,224.65
  5. Step 5: Solve for x
    x = 561,735,224.65/25,823.50
  6. Step 6: Final answer
    x = 21,752.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.